11478726952729 has 9 divisors (see below), whose sum is σ = 11534104652031. Its totient is φ = 11423613917520.

The previous prime is 11478726952717. The next prime is 11478726952841. The reversal of 11478726952729 is 92725962787411.

It is a happy number.

The square root of 11478726952729 is 3388027.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5245955064025 + 6232771888704 = 2290405^2 + 2496552^2 .

It is not a de Polignac number, because 11478726952729 - 2⁷ = 11478726952601 is a prime.

It is a super-2 number, since 2×11478726952729² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11478726952129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 714865669 + ... + 714881725.

It is an arithmetic number, because the mean of its divisors is an integer number (1281567183559).

Almost surely, 2^{11478726952729} is an apocalyptic number.

11478726952729 is the 3388027-th square number.

11478726952729 is the 1694014-th centered octagonal number.

It is an amenable number.

11478726952729 is a deficient number, since it is larger than the sum of its proper divisors (55377699302).

11478726952729 is an frugal number, since it uses more digits than its factorization.

11478726952729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32536 (or 16268 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 70.

The spelling of 11478726952729 in words is "eleven trillion, four hundred seventy-eight billion, seven hundred twenty-six million, nine hundred fifty-two thousand, seven hundred twenty-nine".